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Finding the Fourth Proportional to 153,788.60, 230,613.69 and 64,996.40

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Solution

The fourth proportional to 153,788.60, 230,613.69 and 64,996.40 is: 97,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,788.60 : 230,613.69 = 64,996.40 : x
  2. Step 2: Convert to fraction form
    153,788.60/230,613.69 = 64,996.40/x
  3. Step 3: Cross multiply
    153,788.60x = 230,613.69 × 64,996.40
  4. Step 4: Simplify right side
    153,788.60x = 14,989,059,640.72
  5. Step 5: Solve for x
    x = 14,989,059,640.72/153,788.60
  6. Step 6: Final answer
    x = 97,465.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.